Page:The Mathematical Principles of Natural Philosophy - 1729 - Volume 1.djvu/274



Of the motion of bodies in given uperficies, and of the reciprocal motion of funependulous bodies.

Any kind of centripetal force being uppoed, and the centre of force, and any plane whatoever in which the body revolves, being given, and the quadratures of curvilinear figures being allowed; it is required to determine the motion of a body going of from a given place, with a given velocity, in the direction of a given right line in that plane.

Let S (Pl. 18. Fig. 4.) be the centre of force, SC the leat ditance of that centre from the given